. strong law of large numbers for \(U\)-statistics

DOI10.1016/0378-3758(92)90025-NzbMath0752.60028OpenAlexW1984009766MaRDI QIDQ1194009

Tasos C. Christofides

Publication date: 27 September 1992

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(92)90025-n

zbMATH Keywords

strong law of large numbers\(U\)-statisticmultidimensionally indexed random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (3)

Rate of convergence in the strong law of large numbers for a class of U-statistics and von Mises statistics ⋮ A central limit theorem for incomplete U-statistics over triangular arrays ⋮ \(U\)-statistics on a lattice of i. i. d. random variables

Cites Work

• Unnamed Item
• Maximal inequalities for multidimensionally indexed submartingale arrays
• Sums of independent random variables on partially ordered sets
• Almost sure convergence of generalized U-statistics
• Strong laws of large numbers for \(r\)-dimensional arrays of random variables
• Two-parameter strong laws and maximal inequalities forU-statistics
• An elementary proof of the strong law of large numbers
• A Class of Statistics with Asymptotically Normal Distribution

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